document.write( "Question 146852: the solution set of x+y=2 and 3x=-2y-6 \n" ); document.write( "

Algebra.Com's Answer #107251 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"y%2Bx=2\"$
\n" ); document.write( "2. $\"3x=-2y-6\"$
\n" ); document.write( "Let's use eq. 1 to solve for y in terms of x.
\n" ); document.write( "1. $\"x%2By=2\"$
\n" ); document.write( " $\"y=2-x\"$
\n" ); document.write( "Now substitute this term into eq. 2 and solve for x.
\n" ); document.write( "2. $\"3x=-2y-6\"$
\n" ); document.write( " $\"3x=-2%282-x%29-6\"$
\n" ); document.write( " $\"3x=-4%2B2x-6\"$
\n" ); document.write( "x=-10
\n" ); document.write( "From 1,
\n" ); document.write( " $\"y=2-x\"$
\n" ); document.write( " $\"y=2-%28-10%29\"$
\n" ); document.write( "y=12
\n" ); document.write( "Check your answers.
\n" ); document.write( "1. $\"x%2By=2\"$
\n" ); document.write( " $\"-10%2B12=2\"$
\n" ); document.write( " $\"2=2\"$
\n" ); document.write( "2. $\"3x=-2y-6\"$
\n" ); document.write( " $\"3%28-10%29=-2%2812%29-6\"$
\n" ); document.write( " $\"-30=-30\"$
\n" ); document.write( "The answers lead to true statements.
\n" ); document.write( "They are good answers.
\n" ); document.write( " \n" ); document.write( "

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